1) First and foremost, do NOT allow the Democrats to produce a bill designed to benefit women by offering things like "equal pay", because they will intentionally load the bill with crap they know the GOP cannot swallow (like they did with the "Lilly Ledbetter Act"). because they will then declare that it was those nasty republicans that kept women from fair pay. Democrats are NOT interested in fair pay for women, or they would not load the bill with crap. They are only interested in making Republicans look bad. It's all about politics.
2) Republicans should present an "equal pay for equal work" bill for ALL people of every gender, race, sexual orientation and ethnicity that does not include any other non-related garbage that would prevent Democrats from having an excuse to vote against it. A straight, virgin bill, BEFORE the Democrats offer their own loaded bill.
3) Make sure every American is AWARE of the Republican effort to get equality for women, and are so determined to do so that they presented a "pure" bill.
It is then up to the Democrats to either pass the Republican bill, or shoot it down. The onus is upon them, not the Republicans.
Put the Democrats on the defense on this and other issues.